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Finding the Third Proportional to 267,968 and 414,735

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Solution

The third proportional to 267,968 and 414,735 is: 641,886.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,968 : 414,735 = 414,735 : x
  2. Step 2: Convert to fraction form
    267,968/414,735 = 414,735/x
  3. Step 3: Cross multiply
    267,968x = 414,735 × 414,735
  4. Step 4: Simplify right side
    267,968x = 172,005,120,225
  5. Step 5: Solve for x
    x = 172,005,120,225/267,968
  6. Step 6: Final answer
    x = 641,886.79

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.